We wrote Python to help visualizing and interpreting physical phenomenons. In our final projects, we discuss an inverted pendulum and a 4-Bar-Linkage under various conditions.

Inverted Pendulum
The basic model of an inverted pendulum is a cart with a frictionless base, on which connects a weighted rod. As the displaced rod is released and starts damping, the cart then moves horizontally.
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Inverted pendulum can be applied to multiple kinds of dynamic mechanisms, such as self-balancing scooter.
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4-Bar-Linkage
The motion of bike-riding can be modeled as a 4-bar-linkage, whose 4 bar corresponds to thigh, calf, a fixed distance from rider's seat to axle, and the bar connecting pedal and axle.

According to different relative lengths of four bars and Grashof law, 4-bar-linkage can be divided into three types. They are crank rocker, double rocker, and parallelogram linkage.

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